Answer:
x^2 + 4x - 2
Step-by-step explanation:
x - 4 = 0
x = 4
Use synthetic division:
4 | 1 0 -18 8 ==> 1=x^3, 0=0x^2, -18=-18x
+4 +16 -8
1 4 -2, 0 ==> x^2 + 4x - 2 with no remainder
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Spider Rock is located in Canyon de Chelly National Park in Arizona. A surveyor stands 370 feet from the base of Spider Rock. From a point 5.5 feet above the ground, he measures the angle of elevation to the top of Spider Rock to be 65°. According to the surveyor's measurements, what is the height of Spider Rock? Round your answer to the nearest tenth. A. 178.0 ft. B. 340.8 ft. C. 413.7 ft. D. 799.0 ft.
Answer:
799 feet
Step-by-step explanation:
We solve using the Trigonometric function of Tangent.
tan theta = Opposite /Adjacent
From the above question, we have the height of the surveyor = 5.5 feet
theta = Angle of elevation = 65°
Adjacent = 370 feet
Let Opposite = height + height of spider rock
tan 65° = h - 5.5 /370 feet
Cross Multiply
tan 65° × 370 feet = h - 5.5
793.46756059 feet = h - 5.5
h = 793.46756059 feet + 5.5
h = 798.96756059 feet
Approximately = 799 feet
The height of the Spider rock = 799 feet
write the expression in standard form
2x-(5+4x)
Answer:
- 2x - 5
Step-by-step explanation:
2x - (5 + 4x)
2x - 5 - 4x
- 2x - 5
Answer: The answer is -2x - 5
Step-by-step explanation:
PLEASE HELP ME!! I WILL GIVE BRAINLIEST. ITS DUE IN AN HOUR
Answer:
p-3=8.25
p=11.25
Answer:
p - 3 = 8.25 and 11.25
Step-by-step explanation:
hi there!
the question is asking us to first find out which equation we can use to solve this wordy problem.
its not going to be answers 1 or 3 since they are adding/ multiplying more on to our wooden plank, when the question is stating that we are subtracting 3 inches off.
knowing that now, our answer is p - 3 = 8.25 or 4 !
now all we have to do is add 3 to 8.25 to get our answer of how long the plank was before we cut it
3 + 8.25
= 11.25
p = 11.25 <---------------- our final answer!
i hope this helped you! i hope you have a good rest of your day :)
( im sorry if this this late!! )
Need help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
can someone help me with my perfect square homework? thank you.
Answer:
Any better explanation
Answer:
49
Step-by-step explanation:
Given
v² - 14v
To complete the square
add ( half the coefficient of the v- term )² to v² - 14v
v² - 14v + (- 7)²
= v² - 14v + 49
= (v - 7)² ← a perfect square
What is the slope of the line?
2
-2
1/2
1
Answer:
the answer to the question is 1
Order these numbers from least to greatest. 7.63, 7.6032, 7.6,
Answer:
7.6032,7.63,7.6
Sorry if I am wrong.
Step-by-step explanation:
Carson can choose one vehicle (car or truck), one color (blue, red, or silver), and one type of transmission (standard or automatic). How many possible outcomes are there?
Answer:
12 possible outcomes
Step-by-step explanation:
Choosing 1 vehicle from 2 = 2C1 = 2
Choosing 1 color from 3 = 3C1 = 3
Choosing 1 type from 2 = 2C1 = 2
Number of possible outcomes :
2C1 * 3C1 * 2C1
2 * 3 * 2
= 12 different possible outcomes
Which rule defines S, for an = 3(0.7)n?
Sn=7(0.7n)
Sn = 2.1(0.7n)
Sn= 7(1-0.7n)
Sn= 2.1(1-0.7n)
Answer: C
Sn= 7(1-0.7n)
Step-by-step explanation:
The rule that defines S for [tex]a_n = 3(0.7)^n[/tex] is:
[tex]S_n = 7(1 - 0.7^n)[/tex]
The rule of S means that we calculate the rule that defines the sum of n terms of the geometric progression.
Given that:
[tex]a_n = 3(0.7)^n[/tex]
Rewrite as:
[tex]a_n = 3 (0.7)^n \times 1[/tex]
Replace 1 with 0.7/0.7
[tex]a_n = 3 (0.7)^n \times \frac{0.7}{0.7}[/tex]
Rewrite as:
[tex]a_n = 3 *0.7 \times \frac{(0.7)^n}{0.7}[/tex]
Apply law of indices
[tex]a_n = 3 \times 0.7 \times (0.7)^{n-1}[/tex]
[tex]a_n = 2.1 \times (0.7)^{n-1}[/tex]
The n term of a geometric progression is:
[tex]a_n = ar^{n-1}[/tex]
Compare [tex]a_n = ar^{n-1}[/tex] to [tex]a_n = 2.1 \times (0.7)^{n-1}[/tex]
[tex]a = 2.1[/tex] --- the first term
[tex]r = 0.7[/tex]
The sum of n terms of a geometric progression is:
[tex]S_n = \frac{a(1 - r^n)}{1 -r}[/tex]
This gives:
[tex]S_n = \frac{2.1(1 - 0.7^n)}{1 -0.7}[/tex]
[tex]S_n = \frac{2.1(1 - 0.7^n)}{0.3}[/tex]
[tex]S_n = 7(1 - 0.7^n)[/tex]
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-5x - 5 > 15 solve this inequality
Answer:
-5×-5>15
+5 +5
-5×>20
÷-5 ÷-5
x<-4
whe you divide by a negativr you flip the sign
The measures of three of the interior angles of a quadrilateral are 60o, 110o, and 90o What is the measure of the fourth angle of this quadrilateral?
Answer:
100 degrees
Step-by-step explanation:
sum of angles in a quadrilateral = 360
missing angle = 360 - (60 + 110 + 90) = 100
3x+4y=25 x+5y=23
What does the variable of x and y represent in the system of equations
x= 1/27
Heart if it helps!
The lines graphed below are perpendicular. The slope of the red line is 4.
What is the slope of the green line?
Answer: -1/4
Step-by-step explanation:
so lets just eliminate some of the choices here.
4 and -4 are 4/1 or -4/-1 and it doesnt go up or down 4 here so those can be ruled out. If we look at which way the green line is facing, positive goes up on the graph, but green line is going down so we can rule out 1/4. So all that is left is -1/4, so there's your slope.
What is the probability that the spinner will not land on a 5 or 8? 5 points
Answer:
3/4
Step-by-step explanation:
Based on the spinner attached :
Faces are in equal divisions ; number of faces = 8
Probability the spinner will not land on a certain number = 1 - P(spinner lands on that number)
P(spinner lands on 5) = 1 /8
P(spinner will not land on 5) = 1 - 1/8 = 7/8
P(spinner lands on 8) = 1/8
P(spinner will not land on 8) = 1 - 1/8 = 7/8
Hence,
P(spinner will not land on 5 or 8)
Required outcome = (1, 2, 3, 4, 6, 7) = 6
Total possible outcomes = (1.2, 3, 4, 5, 6, 7, 8) = 8
P(spinner will not land on 5 or 8). = 6/8 = 3/4
find the missing side. round to the nearest tenth.
Answer:
A. 5.2
Step-by-step explanation:
I was taught how to do this using the SOH CAH TOA method.
Step 1: Circle your given angle.
Step 2: Label O, H, and A. The line across from your circled angle will be labeled O. The side across from the right angle is H. The last unmarked side is A.
Step 3: Cross off the useless side, in this case, that would be A because there is no corresponding information.
Step 4: Identify if it is sine, cosine, or tangent using SOH CAH TOA. In this case, you only have an O and H so we will use SOH.
Step 5: Set up the equation. The equation is [tex]\frac{sine(31)}{1} =\frac{x}{10}[/tex]. We will use sine of the given angle is equal to the side marked O over the side marked H.
Step 6: Solve for x until x is by itself, then enter into your calculator.
You will enter [tex]sine(31) * 10[/tex] into your calculator and round if necessary.
One pair of parallel sides proves a quadrilateral to be a parallelogram
True
False
Calculate the product below and give your answer in scientific notation.
(1.3 x 10-^2) (0.05) = ?
Answer:
1 Simplify 1.3\times 101.3×10 to 1313.
(13-2)\times 0.05
(13−2)×0.05
2 Simplify 13-213−2 to 1111.
11\times 0.05
11×0.05
3 Simplify.
0.55
0.55
The product of (1.3 x 10⁻²) and (0.05) is 0.065x 10⁻²
What is Equation?Two or more expressions with an Equal sign is called as Equation.
We need to find the product of (1.3 x 10⁻²) and (0.05)
Multiplication is a method of finding the product of two or more numbers
First multiply as if there is no decimal.
Next, count the number of digits after the decimal in each factor.
Finally, put the same number of digits behind the decimal in the product.
1.3×0.05=0.065
So 0.065x 10⁻² is the value of product (1.3 x 10⁻²) and (0.05)
Hence, the product of (1.3 x 10⁻²) and (0.05) is 0.065x 10⁻²
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A man wants to build around water fountain with diameter, d = 11.28 feet. The man is trying to put up a fence around the build with some wire. What is the length of the wire that the man needs to complete the task?
Answer:
35.44
Step-by-step explanation:
2 times pi times radius.
if f (x) = 8 (5x - 2) find f (x)
Answer:
f-1(x) = (x - 16)/40
B
Step-by-step explanation:
Call f(x) = y
Interchange x and y
x = (5y + 2)*8 Remove the brackets
x = 40y + 16 Subtract 16 from both sides
x - 16 = 40y Interchange the left and right sides
40y = x - 16 Divide by 40
y = (x - 16)/40
f-1(x) = (x - 16)/40
A street light is 21 feet high and casts a 40-foot shadow. At the same time, a cell-phone
tower next to the street light casts a 57-foot shadow. Which proportion can be used to find
the height, H, of the cell-phone tower?
Answer:
21/H = 40/57
Step-by-step explanation:
Which of the following points are located 3 units from (-4,-2) ?
A rectangle swimming pool is measured up to 15 meters long and 7 1 fourth meters wide what is the area of this swiming pool
Answer:
108.75 m^2
Step-by-step explanation:
Area of a rectangle = length x breadth
15 x 7 1/4
15 x 29 / 4 = 108.75 m^2 or 108 3/4 m^2
Sin(x)=sqrt3/2 solutions of
Answer:
pi/3+2pin, 2pi/3+2pi(n)
Answer:
the next one is c - pi/2
Step-by-step explanation:
HELP! I'LL MARK YOU BRAINLIST
Step-by-step explanation:
are in the solution:
(3,1)
(-1,2)
(6,0)
(0,0)
are not
(-2,-1)
(0,-4)
What is the area of the triangle?
5
3
units?
Easy questions just a bit of help no rush 100 points to do this
Is this a test or do you need help
Melissa works at Best Buy and gets paid $250 a week plus
commission. She earns $15 for every cell phone she sales.
Which function can be used to find t, the amount of money
Melissa will receive on her weekly paycheck for selling n
number of cell phones?
A.
t=250x + 15
C. t = 15x
B.
t = 15x + 250
D. Not Here
Answer:
option b is correct
I hope it helps
In ΔQRS, the measure of ∠S=90°, QR = 7.7 feet, and SQ = 6.5 feet. Find the measure of ∠R to the nearest tenth of a degree.
Answer:
57.6°
Step-by-step explanation:
It is always helpful to draw a picture. Also, you need to memorize all the definitions of the trig functions. For example,
sine of an angle = opposite side/hypotenuse
In your case, SQ is opposite side to angle R and QR is the hypotenuse
Therefore, sin R = 6.5/7.7
m∠R = arcsin (6.5/7.7) = 57.6°
State if the three numbers can be the measures of the sides of a triangle.
5, 12, 10
Yes or No
Answer:
yes
Step-by-step explanation:
Please help me out I’ll mark brainliesttttt
Answer:
x = 4
Step-by-step explanation:
Since the triangle is 45-90-45, x = 4.
Answer:
4 is the answer
Step-by-step explanation:
By Pythagorean theorem
hypotenuse^2=base^2+altitude^2
(4sqrt2)^2=(4)^2+x^2
32=16+x^2
32-16=x^2
16=x^2
taking square root on both sides
x=4